Question
6 flowers fill \( 1 \frac{1}{2} \) small planters. How many flowers fill 1 small planter?
Ask by Boone Johnston. in the United States
Mar 06,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
4 flowers fill 1 small planter.
Solution
Let's denote the number of flowers that fill 1 small planter as \( x \).
1. Given that 6 flowers fill \( 1 \frac{1}{2} \) planters, we have:
\[
1 \frac{1}{2} \text{ planters } \times x \text{ (flowers per planter)} = 6 \text{ flowers}
\]
2. Convert the mixed number \( 1 \frac{1}{2} \) to an improper fraction:
\[
1 \frac{1}{2} = \frac{3}{2}
\]
3. Substitute into the equation:
\[
\frac{3}{2} \times x = 6
\]
4. Solve for \( x \) by multiplying both sides of the equation by the reciprocal of \(\frac{3}{2}\):
\[
x = 6 \times \frac{2}{3}
\]
5. Simplify:
\[
x = \frac{12}{3} = 4
\]
Thus, \( 4 \) flowers fill 1 small planter.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To find out how many flowers fill 1 small planter, you need to divide the total number of flowers by the total number of planters. Given that 6 flowers fill \( 1 \frac{1}{2} \) small planters, you can express \( 1 \frac{1}{2} \) as \( \frac{3}{2} \). Now, you can set up the equation: \[ \text{Number of flowers in 1 small planter} = \frac{6 \text{ flowers}}{\frac{3}{2} \text{ planters}} = 6 \times \frac{2}{3} = 4 \text{ flowers}. \] So, 1 small planter can hold 4 flowers! Who knew math could blossom into such floral treasure? 🌼
